Mathematical Physics

This speciality of the Master covers some of the most interesting and advanced topics in current Mathematical Physics. The lectures focus on non-linear systems at the classical and quantum level, Field Theory (classical and especially quantum), and other classical topics, such as group theory, modern differential geometry and classical/quantum integrable systems. The speciality introduces the student to the techniques of mathematical physics with an emphasis on theoretical physics. Although this Master speciality is primarily directed at graduate students in Physics, it is also especially attractive to graduate students in Physics+Mathematics. Such a double degree is already available in some Spanish universities and has proved very successful. Students of this speciality will acquire the following specific competencies:

• Accurate use of abstract mathematical techniques.
• Knowledge in advanced non-linear physical systems (classical and quantum).
• Interpretation of the fundamental aspects of theoretical physics.

All the optional subjects in the module are theoretical/practical in nature, but without laboratory practice, so that each of them will be developed by the corresponding lecturer over 22 classroom hours.

As regards the Master's Thesis, it will be channelled in such a way that the results obtained lead to the publication of research articles in high impact journals. Students will be prepared to continue their scientific career by accessing a PhD programme in Physics, either at the University of Valladolid itself or at other prestigious Spanish or foreign universities.

The Mathematical Physics module is supported by three research groups, all internationally recognised in their fields, as reflected in the groups CV and their members. The research groups have outstanding success in obtaining funded research grants in competitive calls, high impact publications, and collaborations with private companies and international recognised research groups. Each research group is in charge of a set of subjects, according to their specialisation. Lectures across subjects will be coordinated and will complement each other to provide the student with a broad and strong formation in Mathematical Physics. In the last part of the Master programme, the student will have the opportunity to be integrated into one of the groups in order to do his/her Master Thesis, and orientate their research profile towards the research fields of their chosen group and their collaborators.